The number 82164
82164 is a composite number with 24 divisors. Its prime factorisation is × 3 × 41 × 167. Divisors (24): 1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 167, 246, 334, 492, 501, 668 … 82164.
Pick any whole number from 1 to 100,000.
How to work it out
- 1
82164 has no famous special property in the usual lists (prime, square, cube, triangular, Fibonacci, palindrome, perfect), but it is still a composite number.
- 2
82164 is composite. Its prime factorisation is
- 3
The divisors add up to 197568; without 82164 itself that is 115404, so 82164 is abundant (115404 is more than 82164). Euler's totient φ(82164) = 26560 numbers up to 82164 share no factor with it.
- 4
The digits of 82164 add up to 21, and repeating that until one digit is left gives the digital root 3. The Collatz sequence (halve if even, else 3n+1) takes 151 steps to reach 1.
LaTeX source of the formulas on this page
\[ 82164 = 2^{2} \times 3 \times 41 \times 167 \]82164 at a glance
| Property | Value |
|---|---|
| Type | composite |
| Number of divisors | 24 |
| Sum of divisors | 197568 |
| Euler totient φ(n) | 26560 |
| Square | 6750922896 |
| Cube | 554682828826944 |
| Square root | 286.642635 (= 2√20541) |
| Digit sum / digital root | 21 / 3 |
| Collatz steps to 1 | 151 |
| Scientific notation | 8.2164 × |
82164 in other forms
| Form | Value |
|---|---|
| In words | eighty-two thousand one hundred and sixty-four |
| Binary (base 2) | 10100000011110100 |
| Octal (base 8) | 240364 |
| Hexadecimal (base 16) | 140F4 |
| Base 3 | 11011201010 |
| As time | 82164 seconds = 22 h 49 min 24 s |
Is 82164 divisible by 2 to 12?
| Divisor | Answer | Rule |
|---|---|---|
| 2 | Yes (82164 ÷ 2 = 41082) | A number is divisible by 2 if the last digit is even (0, 2, 4, 6, 8). |
| 3 | Yes (82164 ÷ 3 = 27388) | A number is divisible by 3 if the digits add up to a multiple of 3. |
| 4 | Yes (82164 ÷ 4 = 20541) | A number is divisible by 4 if the last two digits make a multiple of 4. |
| 5 | No (remainder 4) | A number is divisible by 5 if the last digit is 0 or 5. |
| 6 | Yes (82164 ÷ 6 = 13694) | A number is divisible by 6 if it is divisible by both 2 and 3. |
| 7 | No (remainder 5) | A number is divisible by 7 if double the last digit and subtract it from the rest: the result is a multiple of 7. |
| 8 | No (remainder 4) | A number is divisible by 8 if the last three digits make a multiple of 8. |
| 9 | No (remainder 3) | A number is divisible by 9 if the digits add up to a multiple of 9. |
| 10 | No (remainder 4) | A number is divisible by 10 if the last digit is 0. |
| 11 | No (remainder 5) | A number is divisible by 11 if the alternating sum of the digits is a multiple of 11. |
| 12 | Yes (82164 ÷ 12 = 6847) | A number is divisible by 12 if it is divisible by both 3 and 4. |
Questions
Is 82164 a prime number?
No. 82164 = × 3 × 41 × 167, so it is divisible by 2.
What are the factors of 82164?
1, 2, 3, 4, 6, 12, 41, 82, 123, 164, 167, 246, 334, 492, 501, 668, 1002, 2004, 6847, 13694, 20541, 27388, 41082, 82164.
What is 82164 in binary?
10100000011110100 (hexadecimal 140F4, octal 240364).
What is the square root of 82164?
About 286.6426, exactly 2√20541.
Is 82164 divisible by 3?
Yes. Its digits add up to 21, a multiple of 3.
What is special about the number 82164?
It is a composite number with 24 divisors.